4090400132 has 96 divisors (see below), whose sum is σ = 9228570624. Its totient is φ = 1541865600.

The previous prime is 4090400131. The next prime is 4090400147. The reversal of 4090400132 is 2310040904.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 4090400098 and 4090400107.

It is not an unprimeable number, because it can be changed into a prime (4090400131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602907 + ... + 2604477.

It is an arithmetic number, because the mean of its divisors is an integer number (96130944).

Almost surely, 2^4090400132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614285312).

4090400132 is an abundant number, since it is smaller than the sum of its proper divisors (5138170492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4090400132 is a wasteful number, since it uses less digits than its factorization.

4090400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4090400132 is about 63956.2360681115. The cubic root of 4090400132 is about 1599.2705179814.

The spelling of 4090400132 in words is "four billion, ninety million, four hundred thousand, one hundred thirty-two".